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Finding the Fourth Proportional to 3,813.71, 5,223.49 and 3,589.54

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Solution

The fourth proportional to 3,813.71, 5,223.49 and 3,589.54 is: 4,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.71 : 5,223.49 = 3,589.54 : x
  2. Step 2: Convert to fraction form
    3,813.71/5,223.49 = 3,589.54/x
  3. Step 3: Cross multiply
    3,813.71x = 5,223.49 × 3,589.54
  4. Step 4: Simplify right side
    3,813.71x = 18,749,904.26
  5. Step 5: Solve for x
    x = 18,749,904.26/3,813.71
  6. Step 6: Final answer
    x = 4,916.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.